Wiktionary
vb. (context intransitive idiomatic English) to increase sharply.
Usage examples of "rocket up".
I had to find out, and I began to pedal Rocket up the driveway to the house.
All of them hoped fervently that it would take several days, but to have assembled a rocket up in a mountain cave showed that Lothar had either become, or had working for him, a highly skilled engineer.
We had followed the passenger rocket up through the atmosphere and then passed it from a distance as it stopped its acceleration and started its downward descent back toward the ground.
He learned how to take the rocket up and level off, and once Ben even patiently guided him through the intricacies of a landing.
There were the usual eager spectators too, thousands from the large cities on Mars who had taken the ferry rocket up to the spaceport to see the ships come in for refueling.
The balloon carries the rocket up to where the air is less dense, then the rocket fires and breaks away.